论文标题
结构光束内部锥形折射的理论和数值研究
Theoretical and numerical investigation of internal conical refraction of structured light beams
论文作者
论文摘要
我们提出了双轴晶体中结构光束内部锥形折射的Ab-Initio数值研究。从菲涅尔方程的溶液开始，在不假定任何分析近似的情况下开发了理论分析，从而获得了一组精确的方程，这些方程可以通过标准的积分方法来解决任何撞击光束。作为应用的示例，我们考虑了KTP晶体内线性和圆形极化的高斯和贝塞尔束的特殊情况。数值计算遵循晶体内折射光束的演变。可以看出，对于现实的边界条件，折射锥出在晶体内的一定距离处出现，其形状对初始条件非常敏感。
We present an ab-initio numerical investigation of the internal conical refraction of structured light beams in a biaxial crystal. Starting from the solutions of the Fresnel equation, a theoretical analysis is developed without assuming any analytical approximation, thus obtaining a set of exact equations that can be solved by standard methods of integration for any impinging light beam. As examples of applications, we consider the particular cases of linearly and circularly polarized Gaussian and Bessel beams inside a KTP crystal. The numerical calculations follow the evolution of the refracted beam inside the crystal. It is seen that for realistic boundary conditions, a refraction cone appears in a certain range of distances within the crystal and its shape is rather sensitive to the initial conditions.
